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Simplifying 2sin2x + 3cosx + 1 = 0 Reorder the terms: 1 + 3cosx + 2in2sx = 0 Solving 1 + 3cosx + 2in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3cosx + -1 + 2in2sx = 0 + -1 Reorder the terms: 1 + -1 + 3cosx + 2in2sx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3cosx + 2in2sx = 0 + -1 3cosx + 2in2sx = 0 + -1 Combine like terms: 0 + -1 = -1 3cosx + 2in2sx = -1 Add '-2in2sx' to each side of the equation. 3cosx + 2in2sx + -2in2sx = -1 + -2in2sx Combine like terms: 2in2sx + -2in2sx = 0 3cosx + 0 = -1 + -2in2sx 3cosx = -1 + -2in2sx Divide each side by '3osx'. c = -0.3333333333o-1s-1x-1 + -0.6666666667in2o-1 Simplifying c = -0.3333333333o-1s-1x-1 + -0.6666666667in2o-1 Reorder the terms: c = -0.6666666667in2o-1 + -0.3333333333o-1s-1x-1
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